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Finding the Fourth Proportional to 1,687.46, 2,531.07 and 810.59

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Solution

The fourth proportional to 1,687.46, 2,531.07 and 810.59 is: 1,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.46 : 2,531.07 = 810.59 : x
  2. Step 2: Convert to fraction form
    1,687.46/2,531.07 = 810.59/x
  3. Step 3: Cross multiply
    1,687.46x = 2,531.07 × 810.59
  4. Step 4: Simplify right side
    1,687.46x = 2,051,647.38
  5. Step 5: Solve for x
    x = 2,051,647.38/1,687.46
  6. Step 6: Final answer
    x = 1,215.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.